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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 461 · 40 sums
TalentJR

The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.

NameDateTime takenScore ___ / 40
  1. 1.From a rectangle 8 cm long and 5 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.Each side of a square is 21 cm. What is its perimeter (in cm)?
  3. 3.A wall is 10 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
  6. 6.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 56 cm and its length is 25 cm. What is its width (in cm)?
  8. 8.Each side of a square is 4 cm. What is its perimeter (in cm)?
  9. 9.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  11. 11.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  12. 12.A square has a perimeter of 32 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A wall is 5 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A wall is 4 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A square has a perimeter of 36 cm. What is its area (in square cm)?
  19. 19.A square has a perimeter of 8 cm. What is its area (in square cm)?
  20. 20.From a rectangle 14 cm long and 6 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A wall is 10 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 13 cm long and 5 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.From a rectangle 6 cm long and 7 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  27. 27.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  28. 28.Each side of a square is 7 cm. What is its perimeter (in cm)?
  29. 29.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 9 cm long and 9 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a square is 3 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  37. 37.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  39. 39.The perimeter of a rectangle is 64 cm and its length is 24 cm. What is its width (in cm)?
  40. 40.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 34
  2. 84
  3. 750
  4. 4960
  5. 6
  6. 3230
  7. 3
  8. 16
  9. 200
  10. 136
  11. 66
  12. 64
  13. 1330
  14. 1170
  15. 1250
  16. 240
  17. 3000
  18. 81
  19. 4
  20. 74
  21. 1500
  22. 63
  23. 39
  24. 2160
  25. 20
  26. 3
  27. 90
  28. 28
  29. 350
  30. 1690
  31. 1680
  32. 3680
  33. 51
  34. 1710
  35. 12
  36. 2
  37. 700
  38. 176
  39. 8
  40. 2400

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